# 11X1 T07 03 congruent triangles (2010)

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<ul><li> 1. Congruent Triangles </li></ul>
<p> 2. Congruent Triangles In order to prove congruent triangles you require three pieces of information. 3. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first. 4. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first.TESTS 5. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first.TESTS (1) Side-Side-Side (SSS) 6. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first.TESTS (1) Side-Side-Side (SSS) 7. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first.TESTS (1) Side-Side-Side (SSS) 8. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first.TESTS (1) Side-Side-Side (SSS) 9. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first.TESTS (1) Side-Side-Side (SSS) 10. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first.TESTS (1) Side-Side-Side (SSS) (2) Side-Angle-Side (SAS) 11. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first.TESTS (1) Side-Side-Side (SSS) (2) Side-Angle-Side (SAS) 12. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first.TESTS (1) Side-Side-Side (SSS) (2) Side-Angle-Side (SAS) 13. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first.TESTS (1) Side-Side-Side (SSS) (2) Side-Angle-Side (SAS) 14. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first.TESTS (1) Side-Side-Side (SSS) (2) Side-Angle-Side (SAS) 15. Congruent Triangles In order to prove congruent triangles you require three pieces of information. Hint: Look for a side that is the same in both triangles first.TESTS (1) Side-Side-Side (SSS) (2) Side-Angle-Side (SAS) NOTE: must beincludedangle 16. (3) Angle-Angle-Side (AAS) 17. (3) Angle-Angle-Side (AAS) 18. (3) Angle-Angle-Side (AAS) 19. (3) Angle-Angle-Side (AAS) 20. (3) Angle-Angle-Side (AAS) 21. (3) Angle-Angle-Side (AAS) NOTE: sides must be inthe same position 22. (3) Angle-Angle-Side (AAS) NOTE: sides must be inthe same position (4) Right Angle-Hypotenuse-Side (RHS) 23. (3) Angle-Angle-Side (AAS) NOTE: sides must be inthe same position (4) Right Angle-Hypotenuse-Side (RHS) 24. (3) Angle-Angle-Side (AAS) NOTE: sides must be inthe same position (4) Right Angle-Hypotenuse-Side (RHS) 25. (3) Angle-Angle-Side (AAS) NOTE: sides must be inthe same position (4) Right Angle-Hypotenuse-Side (RHS) 26. (3) Angle-Angle-Side (AAS) NOTE: sides must be inthe same position (4) Right Angle-Hypotenuse-Side (RHS) 27. e.g. (1985) C D In the diagram ABCD is a quadrilateral. The diagonals AC and BD intersect at S right angles, and DAS BAS A B 28. e.g. (1985) C D In the diagram ABCD is a quadrilateral. The diagonals AC and BD intersect at S right angles, and DAS BAS A B(i) Prove DA = AB 29. e.g. (1985) C D In the diagram ABCD is a quadrilateral. The diagonals AC and BD intersect at S right angles, and DAS BAS A B(i) Prove DA = AB DAS BAS given A 30. e.g. (1985) C D In the diagram ABCD is a quadrilateral. The diagonals AC and BD intersect at S right angles, and DAS BAS A B(i) Prove DA = AB DAS BAS given AAS is commonS 31. e.g. (1985) DCIn the diagram ABCD is a quadrilateral.The diagonals AC and BD intersect at Sright angles, and DAS BAS A B(i) Prove DA = AB DAS BASgiven AAS is common S DSA BSA 90 given A 32. e.g. (1985) DCIn the diagram ABCD is a quadrilateral.The diagonals AC and BD intersect at Sright angles, and DAS BAS A B(i) Prove DA = AB DAS BASgiven AAS is common S DSA BSA 90 given A DAS BAS AAS 33. e.g. (1985) DCIn the diagram ABCD is a quadrilateral.The diagonals AC and BD intersect at Sright angles, and DAS BAS A B(i) Prove DA = AB DAS BASgiven AAS is common S DSA BSA 90 given A DAS BAS AAS DA AB matching sides in 's 34. (ii) Prove DC = CB 35. (ii) Prove DC = CBDA AB proven S 36. (ii) Prove DC = CBDA AB proven S DAS BASgiven A 37. (ii) Prove DC = CBDA AB proven S DAS BASgiven AAC is common S 38. (ii) Prove DC = CBDA AB proven S DAS BASgiven AAC is common S DAC BAC SAS 39. (ii) Prove DC = CBDA AB proven S DAS BASgiven AAC is commonS DAC BAC SAS DC CB matching sides in 's 40. (ii) Prove DC = CBDA AB proven S DAS BASgiven AAC is commonS DAC BAC SAS DC CB matching sides in 's Types Of Triangles Isosceles TriangleA BC 41. (ii) Prove DC = CBDA ABproven S DAS BAS given AAC is common S DAC BACSAS DC CB matching sides in 's Types Of Triangles Isosceles TriangleA AB AC sides in isoscelesABC BC 42. (ii) Prove DC = CBDA ABproven S DAS BAS given AAC is common S DAC BACSAS DC CB matching sides in 's Types Of TrianglesIsosceles Triangle AAB AC sides in isoscelesABC B C ' s in isoscelesABC BC 43. (ii) Prove DC = CBDA ABproven S DAS BAS given AAC is common S DAC BACSAS DC CB matching sides in 's Types Of TrianglesIsosceles Triangle AAB AC sides in isoscelesABC B C ' s in isoscelesABC BCEquilateral Triangle A BC 44. (ii) Prove DC = CBDA ABproven S DAS BAS given AAC is common S DAC BACSAS DC CB matching sides in 's Types Of TrianglesIsosceles Triangle AAB AC sides in isoscelesABC B C ' s in isoscelesABC BCEquilateral Triangle A AB AC BC sides in equilateralABC BC 45. (ii) Prove DC = CBDA ABproven S DAS BAS given AAC is common S DAC BACSAS DC CB matching sides in 's Types Of TrianglesIsosceles Triangle AAB AC sides in isoscelesABC B C ' s in isoscelesABC BCEquilateral Triangle A AB AC BC sides in equilateralABC A B C 60' s in equilateralABC BC 46. Triangle Terminology 47. Triangle Terminology Altitude: (perpendicular height)Perpendicular from one side passingthrough the vertex 48. Triangle Terminology Altitude: (perpendicular height)Perpendicular from one side passingthrough the vertex 49. Triangle Terminology Altitude: (perpendicular height)Perpendicular from one side passingthrough the vertex Median: Line joining vertex to themidpoint of the opposite side 50. Triangle Terminology Altitude: (perpendicular height)Perpendicular from one side passingthrough the vertex Median: Line joining vertex to themidpoint of the opposite side 51. Triangle Terminology Altitude: (perpendicular height)Perpendicular from one side passingthrough the vertex Median: Line joining vertex to themidpoint of the opposite sideRight Bisector: Perpendicular drawnfrom the midpoint of a side 52. Triangle Terminology Altitude: (perpendicular height)Perpendicular from one side passingthrough the vertex Median: Line joining vertex to themidpoint of the opposite sideRight Bisector: Perpendicular drawnfrom the midpoint of a side 53. Exercise 8C; 2, 4beh, 5, 7, 11a, 16, 18, 19a, 21, 22, 26 </p>